Finite-volume models with implicit subgrid-scale parameterization for the differentially heated rotating annulus

Linear Stability Analysis for the Differentially Heated Rotating Annulus

We use linear stability analysis to approximate the axisymmetric to nonaxisymmetric transition in the differentially heated rotating annulus. We study an accurate mathematical model that uses the Navier– Stokes equations in the Boussinesq approximation. The steady axisymmetric solution satisfies a two-dimensional partial differential boundary value problem. It is not possible to compute the sol...

Double Hopf Bifurcations in the Differentially Heated Rotating Annulus

Subgrid scale parameterization with conditional Markov chains

A new approach is proposed for stochastic parameterization of subgrid scale processes in models of atmospheric or oceanic circulation. The new approach relies on two key ingredients. First, the unresolved processes are represented by a Markov chain whose properties depend on the state of the resolved model variables. Second, the properties of this conditional Markov chain are inferred from data...

Mixed-mode solutions in an air-filled differentially heated rotating annulus∗

We present an analysis of the primary bifurcations that occur in a mathematical model that uses the (three-dimensional) Navier-Stokes equations in the Boussinesq approximation to describe the flow of a near unity Prandtl number fluid (i.e. air) in the differentially heated rotating annulus. In particular, we investigate the double Hopf (Hopf-Hopf) bifurcations that occur along the axisymmetric ...

Turbulence, waves, and jets in a differentially heated rotating annulus experiment

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